Spacetime structure of self-similar spherically symmetric perfect fluid solutions
Spacetime structure of self-similar spherically symmetric perfect fluid solutions
We classify all spherically symmetric and homothetic spacetimes that are allowed kinematically by constructing them from a small number of building blocks. We then restrict attention to a particular dynamics, namely perfect fluid matter with the scale-free barotropic equation of state p=?? where 0<~?<1 is a constant. We assign conformal diagrams to all solutions in the complete classification of Carr and Coley, and so establish which of the kinematic possibilities are realized for these dynamics. We pay particular attention to those solutions which arise as critical solutions during gravitational collapse.
024035-[13pp]
Carr, B.J.
7537dc5f-2208-4730-8ee2-a33767317b55
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
15 January 2003
Carr, B.J.
7537dc5f-2208-4730-8ee2-a33767317b55
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
Carr, B.J. and Gundlach, Carsten
(2003)
Spacetime structure of self-similar spherically symmetric perfect fluid solutions.
Physical Review D, 67 (2), .
(doi:10.1103/PhysRevD.67.024035).
Abstract
We classify all spherically symmetric and homothetic spacetimes that are allowed kinematically by constructing them from a small number of building blocks. We then restrict attention to a particular dynamics, namely perfect fluid matter with the scale-free barotropic equation of state p=?? where 0<~?<1 is a constant. We assign conformal diagrams to all solutions in the complete classification of Carr and Coley, and so establish which of the kinematic possibilities are realized for these dynamics. We pay particular attention to those solutions which arise as critical solutions during gravitational collapse.
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Published date: 15 January 2003
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Local EPrints ID: 29193
URI: http://eprints.soton.ac.uk/id/eprint/29193
ISSN: 1550-7998
PURE UUID: 3433b00f-ab44-436f-9c28-3163ccddb5a0
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Date deposited: 11 May 2006
Last modified: 16 Mar 2024 03:15
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Author:
B.J. Carr
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